CHARGED PION CONDENSATION PHENOMENON OF DENSE BARYONIC MATTER INDUCED BY FINITE VOLUME: THE NJL_2 MODEL CONSIDERATIONстатья

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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.

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[1] Charged pion condensation phenomenon of dense baryonic matter induced by finite volume: The njl_2 model consideration / D. EBERT, T. G. KHUNJUA, K. G. KLIMENKO, V. C. ZHUKOVSKY // International Journal of Modern Physics A. — 2012. — Vol. 27, no. 27. — P. 1250162. The properties of two-flavored massless Nambu–Jona-Lasinio (NJL) model in (1+1)-dimensional R_1 × S_1 space–time with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials μ_I, μ. The consideration is performed in the large N_c limit, where N_c is the number of colored quarks. It is shown that at L = ∞ (L is the length of the circumference S_1) the charged pion condensation (PC) phase with zero quark number density is realized at arbitrary nonzero μ_I and for rather small values of μ. However, at arbitrary finite values of L the phase portrait of the model contains the charged PC phase with nonzero quark number density (in the case of periodic boundary conditions for quark fields). Hence, finite sizes of the system can serve as a factor promoting the appearance of the charged PC phase in quark matter with nonzero baryon densities. In contrast, the phase with chiral symmetry breaking may exist only at rather large values of L. [ DOI ]

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